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1 year ago

Find the total area for the regular pyramid.

Mathematics

1 answer:

hram777 [196]1 year ago

3 0

Answer:

Option B

Step-by-step explanation:

Given is the hexagonal pyramid.

We know the radius of the base is same as its side.

Find the base area:

A = 3√3/2a²
A = 3√3/2*6² = 54√3

Given the height and radius, find the side of the lateral triangular faces:

$\sqrt{8^2+6^2} =\sqrt{100} =10$

Each of 6 triangles have sides 10, 10 and 6 units.

Find the area using heron's formula:

s = P/2 = (10*2 + 6)/2 = 13
s - a = s - b = 13 - 10 = 3
s - c = 13 - 6 = 7
$A = \sqrt{s(s-a)(s-b)(s-c)} =\sqrt{13*3*3*7} =3\sqrt{91}$

Total surface area:

$S = 6*3\sqrt{91}+54\sqrt{3} =18\sqrt{91}+54\sqrt{3}$

Correct choice is B

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Blank divided by seven equals zero

Airida [17]

Answer:

anything above 7 or not equivalent to 7 can be the answer

Step-by-step explanation:

8÷7=a undifined number but if it is 7÷7 its 1 and if you got 7÷1 it is 7 so anything other than those answers should be it

4 0

2 years ago

In 2016 the United States had a population of about 323 million people and was growing at 0.7 %. Use an explicit exponential mod

ElenaW [278]

Answer:

2047

Step-by-step explanation:

We are given that

Growing rate=0.7%

$\frac{dp}{dt}=\frac{0.7}{100}P$

$\int \frac{dP}{P}=0.007\int dt$

$lnP=0.007t+C$

Using the formula

$\int \frac{dx}{x}=ln x+C$

$P=e^{0.007t+C}=e^{0.007t}\cdot e^C=Ae^{0.007t}$

$e^C=A$

Initially when t=0,P=323 million

Substitute the values

$323 million=A$

$P=323e^{0.007t}$

Now, substitute P=400 million

$400=323e^{0.007t}$

$ln\frac{400}{323}=0.007t$

$ln(1.2384)=0.007t$

$t=\frac{ln(1.2384}{0.007}$

$t=30.5\approx 31 Years$

Year=2016+31=2047

Hence,In 2047 the U.S population will reach 400 million people.

5 0

2 years ago

The Bluejay Apartments is a new development and is in the process of structuring its lease agreements. The company would like to

Zepler [3.9K]

Answer:

The Bluejay Apartments

1. Tax Effects of the following Alternatives:

i. $1,000 damage deposit with no rent prepayment

No tax will be paid by The Bluejay Apartments until the deposit will no longer be refunded.

ii. $500 damage deposit and $500 rent for the final month of the lease

Tax will be paid on the rental income of $500 and on the $500 if it will no longer be refunded. If it is taken as part of the rent income for a month, then tax will be paid on a total income of $1,000.

iii. $1,000 rent for the final two months of the lease and no damage deposit

Tax will be paid on the rent income of $1,000.

b) From a tax point of view, option i is recommended.

Step-by-step explanation:

According to the IRS, a security or damage deposit is not taxable when it is received by the landlord. It becomes taxable income when the landlord is no longer obligated to return it to the tenant. The reason a damage deposit is not taxed is that it is recorded as an asset and not an expense or income.

5 0

3 years ago

Jayde is wrapping a cube shape present that is 14 inches tall. How much wrapping paper will be needed to wrap the whole present?

gtnhenbr [62]

Answer:

1176in^2

Step-by-step explanation:

find the surface area of the cube

(14*14)6=1176 inches cubed

14*14 is finding the area of one side and then we multiply it by six because that's how many congruent sides there are

7 0

3 years ago